Weak Value Amplification Controlled by an Additional Qubit
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2023-05-12 23:00
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EREMEEV, Vitalie, COTO, Raul, MONTENEGRO, Victor, MUNDARAIN, Douglas, ORSZAG, Miguel. Weak Value Amplification Controlled by an Additional Qubit. In: Multidisciplinarity in Modern Science for the Benefit of Society, 21-22 septembrie 2017, Chișinău. Chișinău, Republica Moldova: Inst. de Fizică Aplicată, 2017, pp. 25-26. ISBN 978-9975-9787-1-2.
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Multidisciplinarity in Modern Science for the Benefit of Society 2017
Masa rotundă "Multidisciplinarity in Modern Science for the Benefit of Society"
Chișinău, Moldova, 21-22 septembrie 2017

Weak Value Amplification Controlled by an Additional Qubit


Pag. 25-26

Eremeev Vitalie1, Coto Raul2, Montenegro Victor2, Mundarain Douglas3, Orszag Miguel2
 
1 University of Diego Portales, Santiago de Chile,
2 Pontificia Universidad Catolica de Chile,
3 Universidad Católica del Norte, Antofagasta
 
Disponibil în IBN: 16 martie 2018



Teza

The effect of weak value amplification (WVA) suggested by Aharonov, Albert and Vaidman (AAV) [1] opened up new vistas regarding quantum measurements on weakly coupled systems. In this light, we propose a theoretical model of the quantum control of the WVA of a qubit system coupled to a meter, via a second non-interacting qubit, initially quantum correlated with the first one. Our results [2] show that for weak measurements, the control can be remotely realized via the postselected state of the second qubit or the degree of squeezing of the meter. Additionally, in a step towards the study of the quantum control of the amplification, we can easily manipulate the degree of quantum correlations between the initial correlated qubits. We have found a clear connection between the amplification and quantum discord like measurements as well as classical correlations between the qubits. In the framework of the AAV approach, our work proposes to resolve three research tasks interesting for Quantum Information Science. The main task is devoted to the quantum control, in the processes of weak measurements, of a quantum system using correlations as resources. This control refers to remote manipulation of the amplification of the subsystem undergoing the AAV approach. The second task clarifies which kind of correlations is indispensable when the WVA occurs. Here, we find that quantum discord is a better resource than entanglement and classical correlations, an outcome similarly observed in the context of other studies [3]. And, the third task deals with the problem of enhancing the amplification effect by squeezing the meter state, allowing one to extend the validity of the approximations made in [1]. In general, in this work we have used examples where the two qubits are in various states such as pure Bell, Werner or Bell diagonal states. On the other hand, we place the meter in a coherent, squeezed or infinitely wide Gaussian state in the p-representation.